GCD of 900, 107, 938, 426 Calculator

Given Input numbers are 900, 107, 938, 426

In the factoring method, we have to find the divisors of all numbers

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (900, 107, 938, 426) = 1.

Given numbers are 900, 107, 938, 426

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 107 are 107

Prime factors of 938 are 2 x 7 x 67

Prime factors of 426 are 2 x 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 900, 107, 938, 426

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(900, 107) = 96300

GCD(900, 107) = ( 900 x 107 ) / 96300

= 900 / 107

= 900

Step2:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

Step3:

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

= 1 / 426

= 1

So, Greatest Common Divisor of 900, 107, 938, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 170, 334, 399
• GCD of 239, 600, 968, 962
• GCD of 876, 797, 475, 180
• GCD of 667, 152, 715, 375
• GCD of 372, 635, 278, 741

Given numbers are 900, 107, 938, 426
The greatest common divisor of numbers 900, 107, 938, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 107, 938, 426 is 1.

1. What is the GCD of 900, 107, 938, 426?

GCD of given numbers 900, 107, 938, 426 is 1

2. How to calculate the greatest common divisor of 900, 107, 938, 426?

We can find the highest common divisor of 900, 107, 938, 426 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 900, 107, 938, 426 i.e 1.

3. How can I use the GCD of 900, 107, 938, 426Calculator?

Out the numbers 900, 107, 938, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.